Information on Result #547670
There is no linear OA(216, 25, F2, 8) (dual of [25, 9, 9]-code), because construction Y1 would yield
- linear OA(215, 21, F2, 8) (dual of [21, 6, 9]-code), but
- residual code [i] would yield linear OA(27, 12, F2, 4) (dual of [12, 5, 5]-code), but
- linear OA(29, 25, F2, 4) (dual of [25, 16, 5]-code), but
- discarding factors / shortening the dual code would yield linear OA(29, 24, F2, 4) (dual of [24, 15, 5]-code), but
- adding a parity check bit [i] would yield linear OA(210, 25, F2, 5) (dual of [25, 15, 6]-code), but
- discarding factors / shortening the dual code would yield linear OA(29, 24, F2, 4) (dual of [24, 15, 5]-code), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.